For all x E R, it is known that 1. Find the value of f(2022) (0). 2. Find the exact value of f(x) +∞ 3n (n + 1) n! n=0 = xe -x = +∞ (−1)”.gn+1 n! n=0

Q: If f(1) =x² – 9 and g(x) = then (go f)(ī1) is I+8 O 16.00 O 0.20 O 64.00 0.80 O 7.00

A: Function

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Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

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Q: 4. f[g(-2)]=. %3D

A: Since you have posted more than one question we have solved the first one for you. For the remaining…

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Q: The value of k that makes x2 – kx + 2x – 2k f(x) x # -2 x + 2 4, continuous at x = -2 is x = -2 O 2…

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Q: Suppose that .3 f(3) = }, and f(x) > 0, and juw <0. < 0. Is it possible that f(2) = . %3D False O…

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A: Topic = Function Finding the Inverse of a Function:- First, replace f(x) with y. Replace every x…

Q: D) Identify the even function among the following. A) f(x) = 2|x| - x² %3D B) h (x) = 2x – x² %3D C)…

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Q: 4. Given that f(x) = 5x² + 4x, find each of the following. (a) f(-1) (b) f(t-1)

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Q: 1. Given f(x) = x +3x-4 and g(x) = x- 1, x 1, find (x). A. x + 4 O B. x + 3 C. x+2 D. x +7

A: Given data is : fx=x2+3x-4 and gx=x-1 , x≠1   To find the value of fgx

Q: 4. Let f(n) be a negligible function and k a positive integer. Prove the following: (a) f(/n) is…

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Q: Let f(x) = -4x+ 2. Find the largest & so that f(x) - f(a)| < e when |x-a| < 8. S .

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Q: 2. Given f(x) = x' – x? - 5x – 3. which of the following is a factor of f(x)? 1. x - 2 2. x+ 2 3. x…

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Q: Suppose f f (x) da = 8 and f g (x) da = -3. 3 Evaluate f (-4 f (x) + 2 g (x)) dz. 3

A: Using integral property,

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A: Explanation and Solution is given below....

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Q: x3 if x 1

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Q: (–1)" >) Given: In(1 + x) = if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

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A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: f(x) g(x) h(x) -2 3. -2 3. -2 -1 5. -1 -2 -1 3 -1 -2 1 2 1 3 4 3 -1 -1 4 4 4 1. Using the tables…

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Q: determine L−1[F].

A: Given Data The function is F(s)=4/(s+2)3.   The general inverse transform rule is,

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Q: If f(x) = 3x-2 and g(x)=x+1, then (f(g))-¹(a) equals 01-2 O (3-1) O x-1

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